Answer
See graph, domain $\{x| x\ne \frac{k\pi}{2}\}$ (k is an integer), range $\{y|y\le-\frac{1}{2}\ or\ y\ge\frac{1}{2}\}$.
Work Step by Step
1. See graph for $y=\frac{1}{2}csc(2x)$.
2. We can identify the domain $\{x| x\ne \frac{k\pi}{2}\}$ (k is an integer), range $\{y|y\le-\frac{1}{2}\ or\ y\ge\frac{1}{2}\}$.